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Simplifying (12x + -1)(6x + -1)(4x + -1)(3x + -1) = 5 Reorder the terms: (-1 + 12x)(6x + -1)(4x + -1)(3x + -1) = 5 Reorder the terms: (-1 + 12x)(-1 + 6x)(4x + -1)(3x + -1) = 5 Reorder the terms: (-1 + 12x)(-1 + 6x)(-1 + 4x)(3x + -1) = 5 Reorder the terms: (-1 + 12x)(-1 + 6x)(-1 + 4x)(-1 + 3x) = 5 Multiply (-1 + 12x) * (-1 + 6x) (-1(-1 + 6x) + 12x * (-1 + 6x))(-1 + 4x)(-1 + 3x) = 5 ((-1 * -1 + 6x * -1) + 12x * (-1 + 6x))(-1 + 4x)(-1 + 3x) = 5 ((1 + -6x) + 12x * (-1 + 6x))(-1 + 4x)(-1 + 3x) = 5 (1 + -6x + (-1 * 12x + 6x * 12x))(-1 + 4x)(-1 + 3x) = 5 (1 + -6x + (-12x + 72x2))(-1 + 4x)(-1 + 3x) = 5 Combine like terms: -6x + -12x = -18x (1 + -18x + 72x2)(-1 + 4x)(-1 + 3x) = 5 Multiply (1 + -18x + 72x2) * (-1 + 4x) (1(-1 + 4x) + -18x * (-1 + 4x) + 72x2 * (-1 + 4x))(-1 + 3x) = 5 ((-1 * 1 + 4x * 1) + -18x * (-1 + 4x) + 72x2 * (-1 + 4x))(-1 + 3x) = 5 ((-1 + 4x) + -18x * (-1 + 4x) + 72x2 * (-1 + 4x))(-1 + 3x) = 5 (-1 + 4x + (-1 * -18x + 4x * -18x) + 72x2 * (-1 + 4x))(-1 + 3x) = 5 (-1 + 4x + (18x + -72x2) + 72x2 * (-1 + 4x))(-1 + 3x) = 5 (-1 + 4x + 18x + -72x2 + (-1 * 72x2 + 4x * 72x2))(-1 + 3x) = 5 (-1 + 4x + 18x + -72x2 + (-72x2 + 288x3))(-1 + 3x) = 5 Combine like terms: 4x + 18x = 22x (-1 + 22x + -72x2 + -72x2 + 288x3)(-1 + 3x) = 5 Combine like terms: -72x2 + -72x2 = -144x2 (-1 + 22x + -144x2 + 288x3)(-1 + 3x) = 5 Multiply (-1 + 22x + -144x2 + 288x3) * (-1 + 3x) (-1(-1 + 3x) + 22x * (-1 + 3x) + -144x2 * (-1 + 3x) + 288x3 * (-1 + 3x)) = 5 ((-1 * -1 + 3x * -1) + 22x * (-1 + 3x) + -144x2 * (-1 + 3x) + 288x3 * (-1 + 3x)) = 5 ((1 + -3x) + 22x * (-1 + 3x) + -144x2 * (-1 + 3x) + 288x3 * (-1 + 3x)) = 5 (1 + -3x + (-1 * 22x + 3x * 22x) + -144x2 * (-1 + 3x) + 288x3 * (-1 + 3x)) = 5 (1 + -3x + (-22x + 66x2) + -144x2 * (-1 + 3x) + 288x3 * (-1 + 3x)) = 5 (1 + -3x + -22x + 66x2 + (-1 * -144x2 + 3x * -144x2) + 288x3 * (-1 + 3x)) = 5 (1 + -3x + -22x + 66x2 + (144x2 + -432x3) + 288x3 * (-1 + 3x)) = 5 (1 + -3x + -22x + 66x2 + 144x2 + -432x3 + (-1 * 288x3 + 3x * 288x3)) = 5 (1 + -3x + -22x + 66x2 + 144x2 + -432x3 + (-288x3 + 864x4)) = 5 Combine like terms: -3x + -22x = -25x (1 + -25x + 66x2 + 144x2 + -432x3 + -288x3 + 864x4) = 5 Combine like terms: 66x2 + 144x2 = 210x2 (1 + -25x + 210x2 + -432x3 + -288x3 + 864x4) = 5 Combine like terms: -432x3 + -288x3 = -720x3 (1 + -25x + 210x2 + -720x3 + 864x4) = 5 Solving 1 + -25x + 210x2 + -720x3 + 864x4 = 5 Solving for variable 'x'. Reorder the terms: 1 + -5 + -25x + 210x2 + -720x3 + 864x4 = 5 + -5 Combine like terms: 1 + -5 = -4 -4 + -25x + 210x2 + -720x3 + 864x4 = 5 + -5 Combine like terms: 5 + -5 = 0 -4 + -25x + 210x2 + -720x3 + 864x4 = 0 The solution to this equation could not be determined.
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